9514 1404 393
Answer:
(c) see below
Explanation:
The mnemonic SOH CAH TOA can remind you how to do this. It tells you ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Here, the hypotenuse XY is 12, so we expect to see answers with 12 in the denominator. Only choice C matches that.
We can confirm that choice by looking at the opposite side (YZ) to get ...
sin(X) = YZ/YX = √119/12
The cosine uses the adjacent side:
cos(X) = XZ/XY = 5/12